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Finding the Fourth Proportional to 435,372,345.90, 611,243,153.10 and 435,372,345.90

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Solution

The fourth proportional to 435,372,345.90, 611,243,153.10 and 435,372,345.90 is: 611,243,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,372,345.90 : 611,243,153.10 = 435,372,345.90 : x
  2. Step 2: Convert to fraction form
    435,372,345.90/611,243,153.10 = 435,372,345.90/x
  3. Step 3: Cross multiply
    435,372,345.90x = 611,243,153.10 × 435,372,345.90
  4. Step 4: Simplify right side
    435,372,345.90x = 266,118,365,480,459,840
  5. Step 5: Solve for x
    x = 266,118,365,480,459,840/435,372,345.90
  6. Step 6: Final answer
    x = 611,243,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.